31333001011997 has 2 divisors, whose sum is σ = 31333001011998. Its totient is φ = 31333001011996.

The previous prime is 31333001011901. The next prime is 31333001012057. The reversal of 31333001011997 is 79911010033313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24712769785636 + 6620231226361 = 4971194^2 + 2572981^2 .

It is an emirp because it is prime and its reverse (79911010033313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31333001011997 - 2¹⁴ = 31333000995613 is a prime.

It is a super-2 number, since 2×31333001011997² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31333001011397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15666500505998 + 15666500505999.

It is an arithmetic number, because the mean of its divisors is an integer number (15666500505999).

Almost surely, 2^{31333001011997} is an apocalyptic number.

It is an amenable number.

31333001011997 is a deficient number, since it is larger than the sum of its proper divisors (1).

31333001011997 is an equidigital number, since it uses as much as digits as its factorization.

31333001011997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 45927, while the sum is 41.

The spelling of 31333001011997 in words is "thirty-one trillion, three hundred thirty-three billion, one million, eleven thousand, nine hundred ninety-seven".